Variable Structure Control for Nonlinear Neutral Systems

In this paper, the variable structure control is investigated for a class of the nonlinear systems with neutral term. Firstly, based on pole-placement method, a sliding surface with simple structures is designed to ensure that the sliding motion has the desired properties and the corresponding reaching motion control is designed to enforce the considered system to asymptotically stable and insensitive to the uncertainties. During the process of theoretical derivation, some new techniques of equivalent transformation and amplification for the inequalities, are developed flexibly. Secondly, an approved design for sliding surface and corresponding sliding mode control is provided to overcome the defect of the fore approach, which is the dynamics depend on the perturbation. Finally, the effectiveness of the proposed approaches is illustrated by a numerical example.